Question

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

A 2-column table with 6 rows. The first column is labeled people working with entries 2, 4, 6, 8, 10, 12. The second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320.
Which model best represents the data?

y = 47(1.191)x
y = 34(1.204)x
y = 26.9x – 1.3
y = 27x – 4

Answer 1

y = 26.9x − 1.3

Reason: the data are essentially linear. A least-squares fit gives slope ≈ 26.857 and intercept ≈ −1.333, i.e. y ≈ 26.9x − 1.3.